m∠QPS=90°m∠QPR=7x−9m∠RPS=4x+22Find m∠QPR

Answer:

3:4

Step-by-step explanation:

If you divide both sides by 7, you shall get 3:4

Answer:

605

Step-by-step explanation:

11x55=605

18x+30 is the solution of the expression which we get by adding all the expressions.

An expression is combination of variables, numbers and operators.

The given expressions from 1 to 9 are -4(x-5), 6(x+1), 4x-20,3x+12, -1(x-9), -x-12, 8-x, -2x, 7(2x+1)

Add all the nine expressions.

-4(x-5)+6(x+1)+4x-20+3x+12-1(x-9)-x-12+8-x -2x+ 7(2x+1)

-4x+20+6x+6+4x-20+3x+12-x+9-x-12+8-x-2x+14x+7

Combine the like terms

18x+30

Hence, 18x+30 is the solution of the expression which we get by adding all the expressions.

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Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

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The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are

180 degrees

540 degrees

900 degrees

The transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.

The rule is (x, y) will become (-x, -y)

Where 540 degrees = 360 + 180

where 900 degrees = 360 + 360 + 180

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Answer:

The cost of painting the curved surface of pillar is: 68.69

Step-by-step explanation:

Given that

Diameter of pillar = d = 50 cm

As the height is in meters and we have to find the cost in per square meter, we have to convert cm into meters.

So,

d = 50/100 = 0.50 m

Now the radius will be:

\(r = \frac{d}{2} = \frac{0.50}{2} = 0.25m\)

Also

Height = 3.5m

The curved surface area of cylinder is given by:

\(CSA = 2\pi rh\)

Putting the values

\(CSA = 2 * 3.14 * 0.25 * 3.5 = 5.495\ m^2\)

It is given that the cost per square meter is 12.50

The total cost for 5.495 m^2 will be: 12.50 * 5.495 = 68.6875

Rounding off to nearest hundredth: 68.69

Hence,

The cost of painting the curved surface of pillar is: 68.69

Answer:-0.4545555...,-0.453333...,-0.45222.....

hope i helped

Step-by-step explanation:

Area of a rectangle = Lenght x width

Lenght = 80 cm

Width = 60 cm

Height = 50 cm

A = 80x 60 = 4800 cm^2

Answer:

15

Step-by-step explanation:

Answer:

200 detective phones.

Step-by-step explanation:

Write the proportion where x is the number of detective phones.

cross multiply

divide both sides by 60

Answer:

i

Step-by-step explanation:

is

coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

She needs 16 recipe to make 8 gallons

Answer:

15,140,170,220,310,370,475,520,580,720

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

jjjj

Answer:

1 5/6

Step-by-step explanation:

1 1/3 = 4/3

4/3 + 1/2 = 8/6 + 3/6 = 11/6 =1 5/6

Answer:

the answer I got is 25/6

Step-by-step explanation:

22/6+3/6 since 22/6 and 3/6 have the same denominator add them by adding their numberators

22+3/6 add 22 and 3 to get 25

25/6

The solution is, the x-intercept is (19,0) and the y-intercept is (0,-19).

The y-intercept of the function is where the graph crosses y-axis.

The x-intercept is where the graph crosses the x-axis.

here, we have,

Given:

The equation of the graph is, x - y = 37.

The objective is to find the x-intercept and y-intercept of the graph.

Explanation:

At x-intercept the value of y will be zero.

In the given equation, at y = 0,

so, x - 0 = 37

or, x = 37

Thus, the coordinate is (37,0).

Similarly, at y-intercept the value of x will be zero.

In the given equation, at x = 0,

0-y = 37

or, y = -37

Thus, the coordinate is (0,-37).

Hence, the x-intercept is (19,0) and the y-intercept is (0,-19).

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Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the two lines mean absolute value.  The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6

if that makes sense :)

Answer:

sorry but i dont know

Step-by-step explanation:

Answer:

bro do hypotamus b = p² - b²

Answer:

Follows are the solution to this question:

Step-by-step explanation:

The missing data and a solution file is define in attached file please find it.

In point A:

Formula for sentenced to prison:

\(=\frac{\text{total of sentenced to prison}}{ \text{guilty}}\)

\(= \frac{880}{1324} \\\\= 0.66\)

In point B:

Formula for both prison:   Sentenced to Prison/Guilty

\(=\frac{\text{Sentenced to Prison}}{ \text{guilty}}\)

\(=\frac{370}{1185}\\\\=0.31\)

In point C:

Formula for: Sentenced to Prison and not Guilty

\(= \frac{\text{Sentenced to Prison and not Guilty}}{ \text{not guilty}} \\\\=\frac{74}{139}\\\\= 0.53\)

Answer:

probably 37gm calculated by the fur or math

The velocity of the arrow is approximately 223.61 meters per second.

To calculate the velocity of the arrow, we can use the conservation of energy principle, where the kinetic energy (KE) of the arrow is equal to the initial energy (2500 J) it possesses.

The kinetic energy of an object is given by the formula:

KE = (1/2) * m * v²

where:

KE = Kinetic energy (in joules)

m = Mass of the object (in kilograms)

v = Velocity of the object (in meters per second)

Given:

KE = 2500 J (joules)

m = 100 g = 0.1 kg (since 1 kg = 1000 g)

Now, let's solve for the velocity "v":

2500 J = (1/2) * 0.1 kg * v²

Now, solve for v²:

v² = 2500 J * 2 / 0.1 kg

v² = 50000 m²/s²

Now, take the square root of both sides to find v:

v = √(50000 m²/s²)

v ≈ 223.61 m/s

So, the velocity of the arrow is approximately 223.61 meters per second.

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The standard deviation of the number of toys donated by juniors is greater than that of seniors.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

For the seniors, the mean is given as,

Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10

σ = 14.28

For the juniors, the mean is given as,

Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10

σ = 13.19

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

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The complete question is given below.

Answer:

38 words

Step-by-step explanation:

Answer:

114/3 =38

Step-by-step explanation:

you do 114/3 to get how many words in one minute

= 38 words

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

The approximate value of the solution to the equation e' = 120 is e ≈ 120.the value of e by rounding it to a Reasonable number of Decimal places.

The given equation is e' = 120, where e represents some variable.

To solve for e, we can start by dividing both sides of the equation by the coefficient of e, which is 1:

e' / 1 = 120 / 1

Simplifying the right-hand side, we get:

e' = 120

This means that the value of e is equal to 120. So the solution to the equation e' = 120 is e = 120.

To find the approximate value of e, we can use a calculator to evaluate the expression. Since e is a variable, we cannot substitute it directly into the calculator. However, we can estimate the value of e by rounding it to a reasonable number of decimal places.

In this case, since e' is given as 120, we can assume that e is also in the same units. So we can round e to the nearest whole number:

e ≈ 120

Therefore, the approximate value of the solution to the equation e' = 120 is e ≈ 120.

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Answer:

86493225

Step-by-step explanation:

Hope it helps

Answer:

Jesus are you 2 years old the answer is 3.

Step by step:

There is one more girl for every 5 boys, and there is 33 students in total, there is 11 in total for each, and 11 times 3 = 33.

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

Answer:

97

Step-by-step explanation:

196 ÷ 2 = 97.5

you cannot include the .5, so each school gets 97 pies

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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